Interface Energy in the Edwards-Anderson model
arXiv:1007.3679 · doi:10.1007/s10955-010-0100-z
Abstract
We numerically investigate the spin glass energy interface problem in three dimensions. We analyze the energy cost of changing the overlap from -1 to +1 at one boundary of two coupled systems (in the other boundary the overlap is kept fixed to +1). We implement a parallel tempering algorithm that simulate finite temperature systems and work with both cubic lattices and parallelepiped with fixed aspect ratio. We find results consistent with a lower critical dimension . The results show a good agreement with the mean field theory predictions.
5 pages; 7 figures; corrected typos; to appear in JSP